What is the Least Common Multiple of 52089 and 52103?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 52089 and 52103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52089 and 52103, than apply into the LCM equation.

GCF(52089,52103) = 1
LCM(52089,52103) = ( 52089 × 52103) / 1
LCM(52089,52103) = 2713993167 / 1
LCM(52089,52103) = 2713993167

Least Common Multiple (LCM) of 52089 and 52103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52089 and 52103. First we will calculate the prime factors of 52089 and 52103.

Prime Factorization of 52089

Prime Factorization of 52103

Now multiplying the highest exponent prime factors to calculate the LCM of 52089 and 52103.

LCM(52089,52103) = 3¹ × 97¹ × 179¹ × 52103¹
LCM(52089,52103) = 2713993167